2001001100020 has 192 divisors, whose sum is σ = 4908579782400. Its totient is φ = 678579314688.

The previous prime is 2001001099991. The next prime is 2001001100041. The reversal of 2001001100020 is 200011001002.

It is a junction number, because it is equal to n+sod(n) for n = 2001001099976 and 2001001100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31655406 + ... + 31718554.

It is an arithmetic number, because the mean of its divisors is an integer number (25565519700).

Almost surely, 2^{2001001100020} is an apocalyptic number.

2001001100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001001100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454289891200).

2001001100020 is an abundant number, since it is smaller than the sum of its proper divisors (2907578682380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001001100020 is a wasteful number, since it uses less digits than its factorization.

2001001100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63362 (or 63360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2001001100020 its reverse (200011001002), we get a palindrome (2201012101022).

The spelling of 2001001100020 in words is "two trillion, one billion, one million, one hundred thousand, twenty".